Solver answer
A♥8♥ on A♦ 7♠ 5♦ K♠ K♣: call the river bet?
6-max cash, 100 big blinds · Cutoff opens, button calls · River A♦ 7♠ 5♦ K♠ K♣ · Cutoff bets 15.4 bb into 20.5 bb · Button to act
Updated
The solver's answer
Fold 66% Call 34%
A♥8♥ is a break-even bluff-catcher here, and the solver folds it most of the time.
The solver plays A♥8♥ along this line to this decision 2.04% of the time; otherwise it acts differently earlier in the hand.
- Pot
- 20.5 bb
- Behind
- 90.5 bb
- Cutoff
- Bets 15.4 bb
In a 6-max cash game at 100 big blinds, after the button calls the cutoff's open and its 7 bb c-bet on an A♦ 7♠ 5♦ flop, both check the K♠ turn and the cutoff bets 15.4 bb into 20.5 bb on the K♣ river, the button folds A♥8♥ 66% of the time, calls 34% and moves all in 0.3%, according to a solver answer published free by Poker Skill.
Why A♥8♥ folds most of the time
- Calling 15.4 bb to win 35.9 bb needs 30.0% equity, and A♥8♥ has 31.6% against the cutoff's bet. The rake takes that small edge: calling is worth -0.02 bb, about the same as folding.
- Top pair with an eight kicker is a bluff-catcher on this board: it beats the cutoff's bluffs and loses to its value bets. The 8 also removes some of the cutoff's bluffs, which pushes the hand toward a fold.
- The kicker decides it: ace-ten suited calls 82% of the time and ace-nine suited 77%, while ace-jack suited folds 83%.
- A♥8♥ rarely gets here at all: before the flop the button calls with ace-eight suited only 4% of the time, and 3-bets or folds the rest.
Poker Skill's free app has Practice vs AI, where you play full heads-up hands against an AI opponent, with Coach Max grading each decision. Play a heads-up hand vs AI
The full strategy, hand by hand
| A | K | Q | J | T | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| A | AA Not in this range here | AKs Not in this range here | AQs C 100 % | AJs F 83 % | ATs C 82 % | A9s C 77 % | A8s F 67 % | A7s Not in this range here | A6s Not in this range here | A5s C 66 % | A4s F 100 % | A3s Not in this range here | A2s Not in this range here |
| K | AKo Not in this range here | KK Not in this range here | KQs C 100 % | KJs C 100 % | KTs C 100 % | K9s Not in this range here | K8s Not in this range here | K7s Not in this range here | K6s Not in this range here | K5s Not in this range here | K4s Not in this range here | K3s Not in this range here | K2s Not in this range here |
| Q | AQo C 66 % | KQo C 100 % | QQ Not in this range here | QJs F 100 % | QTs F 100 % | Q9s Not in this range here | Q8s Not in this range here | Q7s Not in this range here | Q6s Not in this range here | Q5s Not in this range here | Q4s Not in this range here | Q3s Not in this range here | Q2s Not in this range here |
| J | AJo Not in this range here | KJo Not in this range here | QJo Not in this range here | JJ F 100 % | JTs F 100 % | J9s Not in this range here | J8s Not in this range here | J7s Not in this range here | J6s Not in this range here | J5s Not in this range here | J4s Not in this range here | J3s Not in this range here | J2s Not in this range here |
| T | ATo Not in this range here | KTo Not in this range here | QTo Not in this range here | JTo Not in this range here | TT F 99 % | T9s Not in this range here | T8s Not in this range here | T7s Not in this range here | T6s Not in this range here | T5s Not in this range here | T4s Not in this range here | T3s Not in this range here | T2s Not in this range here |
| 9 | A9o Not in this range here | K9o Not in this range here | Q9o Not in this range here | J9o Not in this range here | T9o Not in this range here | 99 F 100 % | 98s Not in this range here | 97s Not in this range here | 96s Not in this range here | 95s Not in this range here | 94s Not in this range here | 93s Not in this range here | 92s Not in this range here |
| 8 | A8o Not in this range here | K8o Not in this range here | Q8o Not in this range here | J8o Not in this range here | T8o Not in this range here | 98o Not in this range here | 88 F 100 % | 87s Not in this range here | 86s Not in this range here | 85s Not in this range here | 84s Not in this range here | 83s Not in this range here | 82s Not in this range here |
| 7 | A7o Not in this range here | K7o Not in this range here | Q7o Not in this range here | J7o Not in this range here | T7o Not in this range here | 97o Not in this range here | 87o Not in this range here | 77 R 100 % | 76s Not in this range here | 75s Not in this range here | 74s Not in this range here | 73s Not in this range here | 72s Not in this range here |
| 6 | A6o Not in this range here | K6o Not in this range here | Q6o Not in this range here | J6o Not in this range here | T6o Not in this range here | 96o Not in this range here | 86o Not in this range here | 76o Not in this range here | 66 F 100 % | 65s F 100 % | 64s Not in this range here | 63s Not in this range here | 62s Not in this range here |
| 5 | A5o Not in this range here | K5o Not in this range here | Q5o Not in this range here | J5o Not in this range here | T5o Not in this range here | 95o Not in this range here | 85o Not in this range here | 75o Not in this range here | 65o Not in this range here | 55 R 100 % | 54s F 100 % | 53s Not in this range here | 52s Not in this range here |
| 4 | A4o Not in this range here | K4o Not in this range here | Q4o Not in this range here | J4o Not in this range here | T4o Not in this range here | 94o Not in this range here | 84o Not in this range here | 74o Not in this range here | 64o Not in this range here | 54o Not in this range here | 44 F 100 % | 43s Not in this range here | 42s Not in this range here |
| 3 | A3o Not in this range here | K3o Not in this range here | Q3o Not in this range here | J3o Not in this range here | T3o Not in this range here | 93o Not in this range here | 83o Not in this range here | 73o Not in this range here | 63o Not in this range here | 53o Not in this range here | 43o Not in this range here | 33 Not in this range here | 32s Not in this range here |
| 2 | A2o Not in this range here | K2o Not in this range here | Q2o Not in this range here | J2o Not in this range here | T2o Not in this range here | 92o Not in this range here | 82o Not in this range here | 72o Not in this range here | 62o Not in this range here | 52o Not in this range here | 42o Not in this range here | 32o Not in this range here | 22 Not in this range here |
- Fold: 46.60% of the range (2.47 combos)
- Call (15.4 bb): 49.08% of the range (2.6 combos)
- All-in (90.5 bb): 4.32% of the range (0.23 combos)
Each cell is a hand class. Its letter is the action the class takes most (F fold, X check, C call, B bet, R raise) and its number is how often, in percent. In the labels, s means suited and o means offsuit.
| Hand class | Combos | Fold | Call (15.4 bb) | All-in (90.5 bb) |
|---|---|---|---|---|
| AQs | 0.219 | 0.0% | 100.0% | 0.0% |
| AJs | 0.389 | 82.5% | 2.3% | 15.2% |
| ATs | 1.007 | 17.6% | 82.2% | 0.3% |
| A9s | 0.175 | 21.9% | 77.3% | 0.9% |
| A8s | 0.041 | 67.0% | 32.7% | 0.3% |
| A5s | 0.125 | 13.2% | 66.0% | 20.8% |
| A4s | 0.061 | 99.7% | 0.2% | 0.1% |
| KQs | 0.433 | 0.0% | 99.9% | 0.1% |
| KJs | 0.239 | 0.0% | 100.0% | 0.0% |
| KTs | 0.194 | 0.0% | 100.0% | 0.0% |
| AQo | 0.678 | 34.3% | 65.7% | 0.0% |
| KQo | 0.001 | 0.0% | 100.0% | 0.0% |
| QJs | 0.003 | 100.0% | 0.0% | 0.0% |
| QTs | 0.025 | 100.0% | 0.0% | 0.0% |
| JJ | 0.104 | 99.8% | 0.1% | 0.0% |
| JTs | 0.094 | 100.0% | 0.0% | 0.0% |
| TT | 0.315 | 99.1% | 0.9% | 0.0% |
| 99 | 0.449 | 99.9% | 0.1% | 0.0% |
| 88 | 0.237 | 100.0% | 0.0% | 0.0% |
| 77 | 0.131 | 0.0% | 0.0% | 100.0% |
| 66 | 0.269 | 100.0% | 0.0% | 0.0% |
| 65s | 0.031 | 100.0% | 0.0% | 0.0% |
| 55 | 0.009 | 0.0% | 0.0% | 100.0% |
| 54s | 0.037 | 100.0% | 0.0% | 0.0% |
| 44 | 0.035 | 100.0% | 0.0% | 0.0% |
What each action is worth with A♥8♥
| Action | How often | Expected value |
|---|---|---|
| Fold | 65.64% | 0 bb |
| Call (15.4 bb) | 34.07% | -0.021 bb |
| All-in (90.5 bb) | 0.29% | -1.119 bb |
Ranges, pot and stacks
- The hand so far: 6-max cash, 100 big blinds · Cutoff opens to 2.5 bb, button calls · Flop A♦ 7♠ 5♦: cutoff bets 7 bb, button calls · Turn K♠: cutoff checks, button checks · River K♣: cutoff bets 15.4 bb into 20.5 bb · Button to act, 90.5 bb behind
- Pot at this decision, including the bets in front: 35.9 bb
- The button: 90.5 bb behind
- The cutoff: 75.1 bb behind, 15.4 bb in front
| A | K | Q | J | T | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| A | AA Not in this range here | AKs Not in this range here | AQs 7 % | AJs 13 % | ATs 34 % | A9s 6 % | A8s 1 % | A7s Not in this range here | A6s Not in this range here | A5s 4 % | A4s 2 % | A3s Not in this range here | A2s Not in this range here |
| K | AKo Not in this range here | KK Not in this range here | KQs 22 % | KJs 12 % | KTs 10 % | K9s Not in this range here | K8s Not in this range here | K7s Not in this range here | K6s Not in this range here | K5s Not in this range here | K4s Not in this range here | K3s Not in this range here | K2s Not in this range here |
| Q | AQo 8 % | KQo <1 % | QQ Not in this range here | QJs <1 % | QTs 1 % | Q9s Not in this range here | Q8s Not in this range here | Q7s Not in this range here | Q6s Not in this range here | Q5s Not in this range here | Q4s Not in this range here | Q3s Not in this range here | Q2s Not in this range here |
| J | AJo Not in this range here | KJo Not in this range here | QJo Not in this range here | JJ 2 % | JTs 2 % | J9s Not in this range here | J8s Not in this range here | J7s Not in this range here | J6s Not in this range here | J5s Not in this range here | J4s Not in this range here | J3s Not in this range here | J2s Not in this range here |
| T | ATo Not in this range here | KTo Not in this range here | QTo Not in this range here | JTo Not in this range here | TT 5 % | T9s Not in this range here | T8s Not in this range here | T7s Not in this range here | T6s Not in this range here | T5s Not in this range here | T4s Not in this range here | T3s Not in this range here | T2s Not in this range here |
| 9 | A9o Not in this range here | K9o Not in this range here | Q9o Not in this range here | J9o Not in this range here | T9o Not in this range here | 99 8 % | 98s Not in this range here | 97s Not in this range here | 96s Not in this range here | 95s Not in this range here | 94s Not in this range here | 93s Not in this range here | 92s Not in this range here |
| 8 | A8o Not in this range here | K8o Not in this range here | Q8o Not in this range here | J8o Not in this range here | T8o Not in this range here | 98o Not in this range here | 88 4 % | 87s Not in this range here | 86s Not in this range here | 85s Not in this range here | 84s Not in this range here | 83s Not in this range here | 82s Not in this range here |
| 7 | A7o Not in this range here | K7o Not in this range here | Q7o Not in this range here | J7o Not in this range here | T7o Not in this range here | 97o Not in this range here | 87o Not in this range here | 77 4 % | 76s Not in this range here | 75s Not in this range here | 74s Not in this range here | 73s Not in this range here | 72s Not in this range here |
| 6 | A6o Not in this range here | K6o Not in this range here | Q6o Not in this range here | J6o Not in this range here | T6o Not in this range here | 96o Not in this range here | 86o Not in this range here | 76o Not in this range here | 66 5 % | 65s 1 % | 64s Not in this range here | 63s Not in this range here | 62s Not in this range here |
| 5 | A5o Not in this range here | K5o Not in this range here | Q5o Not in this range here | J5o Not in this range here | T5o Not in this range here | 95o Not in this range here | 85o Not in this range here | 75o Not in this range here | 65o Not in this range here | 55 <1 % | 54s 1 % | 53s Not in this range here | 52s Not in this range here |
| 4 | A4o Not in this range here | K4o Not in this range here | Q4o Not in this range here | J4o Not in this range here | T4o Not in this range here | 94o Not in this range here | 84o Not in this range here | 74o Not in this range here | 64o Not in this range here | 54o Not in this range here | 44 1 % | 43s Not in this range here | 42s Not in this range here |
| 3 | A3o Not in this range here | K3o Not in this range here | Q3o Not in this range here | J3o Not in this range here | T3o Not in this range here | 93o Not in this range here | 83o Not in this range here | 73o Not in this range here | 63o Not in this range here | 53o Not in this range here | 43o Not in this range here | 33 Not in this range here | 32s Not in this range here |
| 2 | A2o Not in this range here | K2o Not in this range here | Q2o Not in this range here | J2o Not in this range here | T2o Not in this range here | 92o Not in this range here | 82o Not in this range here | 72o Not in this range here | 62o Not in this range here | 52o Not in this range here | 42o Not in this range here | 32o Not in this range here | 22 Not in this range here |
Each cell shows the share of the class's possible combos in the range.
| A | K | Q | J | T | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| A | AA Not in this range here | AKs Not in this range here | AQs 10 % | AJs 1 % | ATs Not in this range here | A9s Not in this range here | A8s Not in this range here | A7s Not in this range here | A6s Not in this range here | A5s Not in this range here | A4s Not in this range here | A3s Not in this range here | A2s Not in this range here |
| K | AKo 26 % | KK Not in this range here | KQs 13 % | KJs 12 % | KTs 15 % | K9s 5 % | K8s 33 % | K7s 3 % | K6s 11 % | K5s 16 % | K4s 9 % | K3s 7 % | K2s 32 % |
| Q | AQo 19 % | KQo 38 % | QQ Not in this range here | QJs <1 % | QTs 2 % | Q9s <1 % | Q8s 17 % | Q7s Not in this range here | Q6s 3 % | Q5s Not in this range here | Q4s Not in this range here | Q3s Not in this range here | Q2s Not in this range here |
| J | AJo <1 % | KJo 16 % | QJo 9 % | JJ Not in this range here | JTs <1 % | J9s Not in this range here | J8s <1 % | J7s 5 % | J6s Not in this range here | J5s Not in this range here | J4s Not in this range here | J3s Not in this range here | J2s Not in this range here |
| T | ATo Not in this range here | KTo 15 % | QTo <1 % | JTo <1 % | TT Not in this range here | T9s Not in this range here | T8s Not in this range here | T7s Not in this range here | T6s Not in this range here | T5s Not in this range here | T4s Not in this range here | T3s Not in this range here | T2s Not in this range here |
| 9 | A9o Not in this range here | K9o 12 % | Q9o Not in this range here | J9o Not in this range here | T9o Not in this range here | 99 Not in this range here | 98s 2 % | 97s Not in this range here | 96s Not in this range here | 95s Not in this range here | 94s Not in this range here | 93s Not in this range here | 92s Not in this range here |
| 8 | A8o Not in this range here | K8o Not in this range here | Q8o Not in this range here | J8o Not in this range here | T8o Not in this range here | 98o Not in this range here | 88 13 % | 87s Not in this range here | 86s Not in this range here | 85s Not in this range here | 84s Not in this range here | 83s Not in this range here | 82s Not in this range here |
| 7 | A7o Not in this range here | K7o Not in this range here | Q7o Not in this range here | J7o Not in this range here | T7o Not in this range here | 97o Not in this range here | 87o Not in this range here | 77 8 % | 76s <1 % | 75s Not in this range here | 74s Not in this range here | 73s Not in this range here | 72s Not in this range here |
| 6 | A6o Not in this range here | K6o Not in this range here | Q6o Not in this range here | J6o Not in this range here | T6o Not in this range here | 96o Not in this range here | 86o Not in this range here | 76o Not in this range here | 66 6 % | 65s 3 % | 64s Not in this range here | 63s Not in this range here | 62s Not in this range here |
| 5 | A5o Not in this range here | K5o Not in this range here | Q5o Not in this range here | J5o Not in this range here | T5o Not in this range here | 95o Not in this range here | 85o Not in this range here | 75o Not in this range here | 65o Not in this range here | 55 <1 % | 54s <1 % | 53s Not in this range here | 52s Not in this range here |
| 4 | A4o Not in this range here | K4o Not in this range here | Q4o Not in this range here | J4o Not in this range here | T4o Not in this range here | 94o Not in this range here | 84o Not in this range here | 74o Not in this range here | 64o Not in this range here | 54o Not in this range here | 44 24 % | 43s Not in this range here | 42s Not in this range here |
| 3 | A3o Not in this range here | K3o Not in this range here | Q3o Not in this range here | J3o Not in this range here | T3o Not in this range here | 93o Not in this range here | 83o Not in this range here | 73o Not in this range here | 63o Not in this range here | 53o Not in this range here | 43o Not in this range here | 33 <1 % | 32s Not in this range here |
| 2 | A2o Not in this range here | K2o Not in this range here | Q2o Not in this range here | J2o Not in this range here | T2o Not in this range here | 92o Not in this range here | 82o Not in this range here | 72o Not in this range here | 62o Not in this range here | 52o Not in this range here | 42o Not in this range here | 32o Not in this range here | 22 Not in this range here |
Each cell shows the share of the class's possible combos in the range.